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Finding the Third Proportional to 1,057,894,401 and 2,470,356,522

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Solution

The third proportional to 1,057,894,401 and 2,470,356,522 is: 5,768,686,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,894,401 : 2,470,356,522 = 2,470,356,522 : x
  2. Step 2: Convert to fraction form
    1,057,894,401/2,470,356,522 = 2,470,356,522/x
  3. Step 3: Cross multiply
    1,057,894,401x = 2,470,356,522 × 2,470,356,522
  4. Step 4: Simplify right side
    1,057,894,401x = 6,102,661,345,787,936,768
  5. Step 5: Solve for x
    x = 6,102,661,345,787,936,768/1,057,894,401
  6. Step 6: Final answer
    x = 5,768,686,685.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.